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Finding the Fourth Proportional to 379,598.04, 523,824.84 and 209,822.04

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Solution

The fourth proportional to 379,598.04, 523,824.84 and 209,822.04 is: 289,543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,598.04 : 523,824.84 = 209,822.04 : x
  2. Step 2: Convert to fraction form
    379,598.04/523,824.84 = 209,822.04/x
  3. Step 3: Cross multiply
    379,598.04x = 523,824.84 × 209,822.04
  4. Step 4: Simplify right side
    379,598.04x = 109,909,996,531.47
  5. Step 5: Solve for x
    x = 109,909,996,531.47/379,598.04
  6. Step 6: Final answer
    x = 289,543.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.